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Finding the Fourth Proportional to 139,968,005.80, 209,952,008.70 and 96,825,202.60

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Solution

The fourth proportional to 139,968,005.80, 209,952,008.70 and 96,825,202.60 is: 145,237,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968,005.80 : 209,952,008.70 = 96,825,202.60 : x
  2. Step 2: Convert to fraction form
    139,968,005.80/209,952,008.70 = 96,825,202.60/x
  3. Step 3: Cross multiply
    139,968,005.80x = 209,952,008.70 × 96,825,202.60
  4. Step 4: Simplify right side
    139,968,005.80x = 20,328,645,778,654,460
  5. Step 5: Solve for x
    x = 20,328,645,778,654,460/139,968,005.80
  6. Step 6: Final answer
    x = 145,237,803.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.